The generator matrix
1 0 1 1 1 1 1 10 4
0 1 1 0 15 11 14 1 1
0 0 2 6 2 4 8 6 0
0 0 0 12 12 8 12 0 12
generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+114x^6+400x^7+1877x^8+3424x^9+1856x^10+400x^11+114x^12+6x^14
The gray image is a code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 5.42 seconds.